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Q.

Find the product of the following pair of monomials: 4p3, 3p.


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a

12p

b

12p4

c

12p+4

d

p4 

answer is B.

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Detailed Solution

The given monomials are 4p3,3p. The multiplication happens separately for constants and variables.
We first form the multiplication as (4p3)×(3p)=(4×3)×(p3×p).
We know the multiplication of variables with indices works for the same base with the formula of (xa×xb)=x a+b.
We take the constants’ multiplication first and get (4×3)=12 and the multiplication of the variables gives us (p3×p)=(p3×p1)=p4.
So, the multiplication value is (4p3)×(3p)=12p4.
 
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